TY - JOUR
T1 - Two remarks on a generalized Davey-Stewartson system
AU - Eden, A.
AU - Erbay, H. A.
AU - Muslu, G. M.
PY - 2006/3/1
Y1 - 2006/3/1
N2 - We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, we establish a blow-up profile. These conditions turn out to be necessary conditions for the existence of a special "radial" solution. In the elliptic-elliptic-elliptic case, under milder conditions, we show the Lp-norms of the solutions decay to zero algebraically in time for 2
AB - We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, we establish a blow-up profile. These conditions turn out to be necessary conditions for the existence of a special "radial" solution. In the elliptic-elliptic-elliptic case, under milder conditions, we show the Lp-norms of the solutions decay to zero algebraically in time for 2
KW - Blow-up profile
KW - Davey-Stewartson system
KW - L -stability
KW - Nonlinear Schrödinger equation
KW - Pseudo-conformal invariance
UR - http://www.scopus.com/inward/record.url?scp=30144435512&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.05.052
DO - 10.1016/j.na.2005.05.052
M3 - Article
AN - SCOPUS:30144435512
SN - 0362-546X
VL - 64
SP - 979
EP - 986
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5
ER -